{"id":"https://openalex.org/W2065579100","doi":"https://doi.org/10.1016/s1571-0661(05)80252-x","title":"The essence of Petri nets and transition systems through Abelian groups","display_name":"The essence of Petri nets and transition systems through Abelian groups","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2065579100","doi":"https://doi.org/10.1016/s1571-0661(05)80252-x","mag":"2065579100"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(05)80252-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)80252-x","pdf_url":"https://www.sciencedirect.com/science/article/pii/S157106610580252X/pdf","source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.sciencedirect.com/science/article/pii/S157106610580252X/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068217644","display_name":"Gabriel Juh\u00e1s","orcid":"https://orcid.org/0000-0001-8302-5112"},"institutions":[{"id":"https://openalex.org/I207624831","display_name":"Slovak Academy of Sciences","ror":"https://ror.org/03h7qq074","country_code":"SK","type":"government","lineage":["https://openalex.org/I207624831"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"Gabriel Juh\u00e1s","raw_affiliation_strings":["Institute of Control Theory and Robotics Slovak Academy of Sciences D\u00fabravsk\u00e1 9, 842 37 Bratislava, Slovakia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Control Theory and Robotics Slovak Academy of Sciences D\u00fabravsk\u00e1 9, 842 37 Bratislava, Slovakia","institution_ids":["https://openalex.org/I207624831"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5068217644"],"corresponding_institution_ids":["https://openalex.org/I207624831"],"apc_list":null,"apc_paid":null,"fwci":1.9481,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.86186809,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":null,"first_page":"90","last_page":"111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10703","display_name":"Business Process Modeling and Analysis","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/petri-net","display_name":"Petri net","score":0.9499998092651367},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.6858193874359131},{"id":"https://openalex.org/keywords/process-architecture","display_name":"Process architecture","score":0.6722220182418823},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.6645348072052002},{"id":"https://openalex.org/keywords/stochastic-petri-net","display_name":"Stochastic Petri net","score":0.645865797996521},{"id":"https://openalex.org/keywords/petri-dish","display_name":"Petri dish","score":0.5613120198249817},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5229571461677551},{"id":"https://openalex.org/keywords/transition-system","display_name":"Transition system","score":0.4826367497444153},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45595741271972656},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.44339093565940857},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4009823203086853},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3950318694114685},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38931500911712646},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24704426527023315},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.16657781600952148}],"concepts":[{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.9499998092651367},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6858193874359131},{"id":"https://openalex.org/C136155141","wikidata":"https://www.wikidata.org/wiki/Q7247260","display_name":"Process architecture","level":3,"score":0.6722220182418823},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.6645348072052002},{"id":"https://openalex.org/C197551870","wikidata":"https://www.wikidata.org/wiki/Q7617809","display_name":"Stochastic Petri net","level":3,"score":0.645865797996521},{"id":"https://openalex.org/C146763376","wikidata":"https://www.wikidata.org/wiki/Q81714","display_name":"Petri dish","level":2,"score":0.5613120198249817},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5229571461677551},{"id":"https://openalex.org/C2779167558","wikidata":"https://www.wikidata.org/wiki/Q176468","display_name":"Transition system","level":2,"score":0.4826367497444153},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45595741271972656},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.44339093565940857},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4009823203086853},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3950318694114685},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38931500911712646},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24704426527023315},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.16657781600952148},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s1571-0661(05)80252-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)80252-x","pdf_url":"https://www.sciencedirect.com/science/article/pii/S157106610580252X/pdf","source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(05)80252-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)80252-x","pdf_url":"https://www.sciencedirect.com/science/article/pii/S157106610580252X/pdf","source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2065579100.pdf","grobid_xml":"https://content.openalex.org/works/W2065579100.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1485288488","https://openalex.org/W1488650839","https://openalex.org/W1538315676","https://openalex.org/W1551222658","https://openalex.org/W1561267729","https://openalex.org/W1567412998","https://openalex.org/W1577110168","https://openalex.org/W1585649433","https://openalex.org/W1759712729","https://openalex.org/W1978994556","https://openalex.org/W1994188141","https://openalex.org/W1994350081","https://openalex.org/W2027622095","https://openalex.org/W2032838513","https://openalex.org/W2071923519","https://openalex.org/W2086302464","https://openalex.org/W2106001218","https://openalex.org/W2149030441","https://openalex.org/W2173961470","https://openalex.org/W2627141059","https://openalex.org/W2913376619","https://openalex.org/W3143808638","https://openalex.org/W4386679465","https://openalex.org/W6628978579","https://openalex.org/W6629134349","https://openalex.org/W6637683540","https://openalex.org/W6676877027","https://openalex.org/W6740076413"],"related_works":["https://openalex.org/W1543378523","https://openalex.org/W2381491984","https://openalex.org/W2016989291","https://openalex.org/W2362023948","https://openalex.org/W2257573499","https://openalex.org/W2380620445","https://openalex.org/W2064254377","https://openalex.org/W2352499080","https://openalex.org/W1847176793","https://openalex.org/W2148229336"],"abstract_inverted_index":{"In":[0,67],"this":[1,60],"paper":[2],"we":[3,9,52,69],"describe":[4],"an":[5,39,110],"abstract":[6,40],"and":[7,82,96],"(as":[8],"hope)":[10],"a":[11],"uniform":[12],"frame":[13,41],"for":[14,89],"Petri":[15,33,49,56,80],"net":[16],"models,":[17],"which":[18],"enable":[19],"to":[20,106],"generalise":[21],"algebra":[22],"as":[23,25],"well":[24],"enabling":[26],"rule":[27],"used":[28,78],"in":[29,48,59,79,113],"the":[30,71,90,93],"dynamics":[31],"of":[32,37,55,75,84,92],"nets.":[34,50],"Our":[35],"approach":[36],"such":[38],"is":[42],"based":[43],"on":[44],"using":[45],"partial":[46,76,103],"groupoids":[47,77,104],"Further,":[51],"study":[53],"properties":[54,74,83],"nets":[57,81],"constructed":[58],"manner":[61],"through":[62],"related":[63],"labelled":[64,85],"transition":[65,86],"systems.":[66],"particular,":[68],"investigate":[70],"relationships":[72],"between":[73],"systems":[87],"crucial":[88],"existence":[91],"state":[94],"equation":[95],"linear":[97],"algebraic":[98],"techniques.":[99],"We":[100],"show":[101],"that":[102],"embeddable":[105],"Abelian":[107],"groups":[108],"play":[109],"important":[111],"role":[112],"preserving":[114],"these":[115],"properties.":[116]},"counts_by_year":[],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}
